Search a number
-
+
129462788 = 227132109251
BaseRepresentation
bin1111011011101…
…11001000000100
3100000121101120002
413231313020010
5231120302123
620502500432
73131262350
oct755671004
9300541502
10129462788
1167095344
1237434718
1320a8b100
14132a0460
15b574528
hex7b77204

129462788 has 72 divisors (see below), whose sum is σ = 284074560. Its totient is φ = 50544000.

The previous prime is 129462779. The next prime is 129462797. The reversal of 129462788 is 887264921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129462779) and next prime (129462797).

It is a super-2 number, since 2×1294627882 = 33521226953465888, which contains 22 as substring.

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, 515663 + ... + 515913.

It is an arithmetic number, because the mean of its divisors is an integer number (3945480).

Almost surely, 2129462788 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 129462788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142037280).

129462788 is an abundant number, since it is smaller than the sum of its proper divisors (154611772).

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

129462788 is a wasteful number, since it uses less digits than its factorization.

129462788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 129462788 is about 11378.1715578559. The cubic root of 129462788 is about 505.8809418523.

The spelling of 129462788 in words is "one hundred twenty-nine million, four hundred sixty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 109 169 182 218 251 338 364 436 502 676 763 1004 1183 1417 1526 1757 2366 2834 3052 3263 3514 4732 5668 6526 7028 9919 13052 18421 19838 22841 27359 36842 39676 42419 45682 54718 73684 84838 91364 109436 128947 169676 191513 257894 296933 355667 383026 515788 593866 711334 766052 1187732 1422668 2489669 4623671 4979338 9247342 9958676 18494684 32365697 64731394 129462788