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72426354 = 237111331389
BaseRepresentation
bin1000101000100…
…10001101110010
312001021122021120
410110102031302
5122020120404
611104203110
71536420360
oct424221562
9161248246
1072426354
1137978aa0
1220309496
131200b040
149894630
1565599d9
hex4512372

72426354 has 128 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 16761600.

The previous prime is 72426329. The next prime is 72426371. The reversal of 72426354 is 45362427.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 185992 + ... + 186380.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 272426354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72426354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

72426354 is an abundant number, since it is smaller than the sum of its proper divisors (128851086).

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

72426354 is a wasteful number, since it uses less digits than its factorization.

72426354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its digits is 40320, while the sum is 33.

The square root of 72426354 is about 8510.3674421261. The cubic root of 72426354 is about 416.8363083805.

It can be divided in two parts, 72 and 426354, that added together give a triangular number (426426 = T923).

The spelling of 72426354 in words is "seventy-two million, four hundred twenty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 389 403 429 434 462 546 651 682 778 806 858 1001 1023 1167 1209 1302 2002 2046 2334 2387 2418 2723 2821 3003 4279 4433 4774 5057 5446 5642 6006 7161 8169 8463 8558 8866 10114 12059 12837 13299 14322 15171 16338 16926 24118 25674 26598 29953 30342 31031 35399 36177 55627 59906 62062 70798 72354 84413 89859 93093 106197 111254 132649 156767 166881 168826 179718 186186 212394 253239 265298 313534 333762 389389 397947 470301 506478 778778 795894 928543 940602 1097369 1168167 1724437 1857086 2194738 2336334 2785629 3292107 3448874 5173311 5571258 6584214 10346622 12071059 24142118 36213177 72426354