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72929484 = 22343153137
BaseRepresentation
bin1000101100011…
…01000011001100
312002020012110000
410112031003030
5122132220414
611123044300
71543614255
oct426150314
9162205400
1072929484
1138192001
1220510690
1312156054
149985b2c
156608b09
hex458d0cc

72929484 has 120 divisors (see below), whose sum is σ = 201979008. Its totient is φ = 22913280.

The previous prime is 72929471. The next prime is 72929497. The reversal of 72929484 is 48492927.

It is an interprime number because it is at equal distance from previous prime (72929471) and next prime (72929497).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 532264 + ... + 532400.

Almost surely, 272929484 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 72929484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100989504).

72929484 is an abundant number, since it is smaller than the sum of its proper divisors (129049524).

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

72929484 is a wasteful number, since it uses less digits than its factorization.

72929484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72929484 is about 8539.8761115136. The cubic root of 72929484 is about 417.7993053789.

The spelling of 72929484 in words is "seventy-two million, nine hundred twenty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 53 54 62 81 93 106 108 124 137 159 162 186 212 274 279 318 324 372 411 477 548 558 636 822 837 954 1116 1233 1431 1643 1644 1674 1908 2466 2511 2862 3286 3348 3699 4247 4293 4929 4932 5022 5724 6572 7261 7398 8494 8586 9858 10044 11097 12741 14522 14787 14796 16988 17172 19716 21783 22194 25482 29044 29574 38223 43566 44361 44388 50964 59148 65349 76446 87132 88722 114669 130698 133083 152892 177444 196047 225091 229338 261396 266166 344007 392094 450182 458676 532332 588141 675273 688014 784188 900364 1176282 1350546 1376028 2025819 2352564 2701092 4051638 6077457 8103276 12154914 18232371 24309828 36464742 72929484