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145794984 = 233311271543
BaseRepresentation
bin10001011000010…
…10011110101000
3101011100011010020
420230022132220
5244310414414
622244520440
73420144156
oct1054123650
9334304106
10145794984
117532aa25
12409b0120
1324288c2a
14155123d6
15cbed7a9
hex8b0a7a8

145794984 has 64 divisors (see below), whose sum is σ = 379453440. Its totient is φ = 46630080.

The previous prime is 145794967. The next prime is 145794991. The reversal of 145794984 is 489497541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93717 + ... + 95259.

It is an arithmetic number, because the mean of its divisors is an integer number (5928960).

Almost surely, 2145794984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145794984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189726720).

145794984 is an abundant number, since it is smaller than the sum of its proper divisors (233658456).

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

145794984 is a wasteful number, since it uses less digits than its factorization.

145794984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 145794984 is about 12074.5593708425. The cubic root of 145794984 is about 526.3171570589.

The spelling of 145794984 in words is "one hundred forty-five million, seven hundred ninety-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 127 186 248 254 372 381 508 744 762 1016 1524 1543 3048 3086 3937 4629 6172 7874 9258 11811 12344 15748 18516 23622 31496 37032 47244 47833 94488 95666 143499 191332 195961 286998 382664 391922 573996 587883 783844 1147992 1175766 1567688 2351532 4703064 6074791 12149582 18224373 24299164 36448746 48598328 72897492 145794984