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148673952 = 25327292543
BaseRepresentation
bin10001101110010…
…01010110100000
3101100202102022200
420313021112200
5301030031302
622430333200
73453464520
oct1067112640
9340672280
10148673952
1176a16a39
124195a200
1324a5646b
1415a61680
15d0bb81c
hex8dc95a0

148673952 has 144 divisors (see below), whose sum is σ = 500048640. Its totient is φ = 40997376.

The previous prime is 148673927. The next prime is 148673963. The reversal of 148673952 is 259376841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 148673898 and 148673907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57193 + ... + 59735.

It is an arithmetic number, because the mean of its divisors is an integer number (3472560).

Almost surely, 2148673952 is an apocalyptic number.

148673952 is a gapful number since it is divisible by the number (12) 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 148673952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

148673952 is an abundant number, since it is smaller than the sum of its proper divisors (351374688).

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

148673952 is a wasteful number, since it uses less digits than its factorization.

148673952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2584 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 148673952 is about 12193.1928550319. The cubic root of 148673952 is about 529.7589410467.

The spelling of 148673952 in words is "one hundred forty-eight million, six hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2543 2784 3248 3654 4176 4872 5086 6496 7308 7629 8352 9744 10172 14616 15258 17801 19488 20344 22887 29232 30516 35602 40688 45774 53403 58464 61032 71204 73747 81376 91548 106806 122064 142408 147494 160209 183096 213612 221241 244128 284816 294988 320418 366192 427224 442482 516229 569632 589976 640836 663723 732384 854448 884964 1032458 1179952 1281672 1327446 1548687 1708896 1769928 2064916 2359904 2563344 2654892 3097374 3539856 4129832 4646061 5126688 5309784 6194748 7079712 8259664 9292122 10619568 12389496 16519328 18584244 21239136 24778992 37168488 49557984 74336976 148673952