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156788148 = 2231123431201
BaseRepresentation
bin10010101100001…
…10010110110100
3101221000122220110
421112012112310
5310114210043
623320303020
73612451206
oct1126062664
9357018813
10156788148
1180559290
1244611a70
132663786a
1416b74776
15db70b33
hex95865b4

156788148 has 96 divisors (see below), whose sum is σ = 426488832. Its totient is φ = 44352000.

The previous prime is 156788147. The next prime is 156788153. The reversal of 156788148 is 841887651.

It is a happy number.

156788148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 156788097 and 156788106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156788147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129948 + ... + 131148.

It is an arithmetic number, because the mean of its divisors is an integer number (4442592).

Almost surely, 2156788148 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 156788148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213244416).

156788148 is an abundant number, since it is smaller than the sum of its proper divisors (269700684).

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

156788148 is a wasteful number, since it uses less digits than its factorization.

156788148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1283 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 156788148 is about 12521.5074172401. The cubic root of 156788148 is about 539.2263131518.

The spelling of 156788148 in words is "one hundred fifty-six million, seven hundred eighty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 253 258 276 473 506 516 759 946 989 1012 1201 1419 1518 1892 1978 2402 2838 2967 3036 3603 3956 4804 5676 5934 7206 10879 11868 13211 14412 21758 26422 27623 32637 39633 43516 51643 52844 55246 65274 79266 82869 103286 110492 130548 154929 158532 165738 206572 303853 309858 331476 568073 607706 619716 911559 1136146 1187789 1215412 1704219 1823118 2272292 2375578 3408438 3563367 3646236 4751156 6816876 7126734 13065679 14253468 26131358 39197037 52262716 78394074 156788148