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155876448 = 25372132549
BaseRepresentation
bin10010100101001…
…11110001100000
3101212022100021210
421102213301200
5304401021243
623244550120
73601633200
oct1122476140
9355270253
10155876448
117aa96312
1244252340
13263a88b0
14169b8400
15da40933
hex94a7c60

155876448 has 144 divisors (see below), whose sum is σ = 512794800. Its totient is φ = 41094144.

The previous prime is 155876429. The next prime is 155876473. The reversal of 155876448 is 844678551.

155876448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 155876397 and 155876406.

It is a congruent number.

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, 59878 + ... + 62426.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2155876448 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 155876448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256397400).

155876448 is an abundant number, since it is smaller than the sum of its proper divisors (356918352).

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

155876448 is a wasteful number, since it uses less digits than its factorization.

155876448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2574 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 155876448 is about 12485.0489786785. The cubic root of 155876448 is about 538.1791068604.

155876448 divided by its sum of digits (48) gives a triangular number (3247426 = T2548).

The spelling of 155876448 in words is "one hundred fifty-five million, eight hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2549 2912 3822 4368 4704 5096 5098 7644 7647 8736 10192 10196 15288 15294 17843 20384 20392 30576 30588 33137 35686 40784 53529 61152 61176 66274 71372 81568 99411 107058 122352 124901 132548 142744 198822 214116 231959 244704 249802 265096 285488 374703 397644 428232 463918 499604 530192 570976 695877 749406 795288 856464 927836 999208 1060384 1391754 1498812 1590576 1623713 1712928 1855672 1998416 2783508 2997624 3181152 3247426 3711344 3996832 4871139 5567016 5995248 6494852 7422688 9742278 11134032 11990496 12989704 19484556 22268064 25979408 38969112 51958816 77938224 155876448