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148625904 = 24371931751
BaseRepresentation
bin10001101101111…
…01100111110000
3101100122222102010
420312331213300
5301022012104
622425322520
73453204450
oct1066754760
9340588363
10148625904
1176993929
1241936440
1324a3a62b
1415a4bd60
15d0ac489
hex8dbd9f0

148625904 has 160 divisors (see below), whose sum is σ = 477429760. Its totient is φ = 38880000.

The previous prime is 148625903. The next prime is 148625909. The reversal of 148625904 is 409526841.

148625904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148625903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197529 + ... + 198279.

It is an arithmetic number, because the mean of its divisors is an integer number (2983936).

Almost surely, 2148625904 is an apocalyptic number.

148625904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148625904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238714880).

148625904 is an abundant number, since it is smaller than the sum of its proper divisors (328803856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148625904 is a wasteful number, since it uses less digits than its factorization.

148625904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 148625904 is about 12191.2224161484. Note that the first 3 decimals coincide. The cubic root of 148625904 is about 529.7018662648.

The spelling of 148625904 in words is "one hundred forty-eight million, six hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 744 751 798 868 912 1064 1178 1302 1488 1502 1596 1736 1767 2128 2253 2356 2604 3004 3192 3472 3534 4123 4506 4712 5208 5257 6008 6384 7068 8246 9012 9424 10416 10514 12016 12369 14136 14269 15771 16492 18024 21028 23281 24738 28272 28538 31542 32984 36048 42056 42807 46562 49476 57076 63084 65968 69843 84112 85614 93124 98952 99883 114152 126168 139686 162967 171228 186248 197904 199766 228304 252336 279372 299649 325934 342456 372496 399532 442339 488901 558744 599298 651868 684912 799064 884678 977802 1117488 1198596 1303736 1327017 1598128 1769356 1955604 2397192 2607472 2654034 3096373 3538712 3911208 4794384 5308068 6192746 7077424 7822416 9289119 10616136 12385492 18578238 21232272 24770984 37156476 49541968 74312952 148625904