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65996424 = 233313191237
BaseRepresentation
bin1111101111000…
…0011010001000
311121011222002000
43323300122020
5113343341144
610314311000
71430650254
oct373603210
9147158060
1065996424
11342870aa
121a128460
1310899450
148a9d264
155bd9769
hex3ef0688

65996424 has 128 divisors (see below), whose sum is σ = 207984000. Its totient is φ = 19222272.

The previous prime is 65996393. The next prime is 65996459. The reversal of 65996424 is 42469956.

65996424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 65996424.

It is a congruent number.

It is an unprimeable number.

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, 52734 + ... + 53970.

It is an arithmetic number, because the mean of its divisors is an integer number (1624875).

Almost surely, 265996424 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 65996424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103992000).

65996424 is an abundant number, since it is smaller than the sum of its proper divisors (141987576).

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

65996424 is a wasteful number, since it uses less digits than its factorization.

65996424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 65996424 is about 8123.8183140688. The cubic root of 65996424 is about 404.1167032060.

The spelling of 65996424 in words is "sixty-five million, nine hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1237 1368 1404 1482 1976 2052 2223 2474 2808 2964 3711 4104 4446 4948 5928 6669 7422 8892 9896 11133 13338 14844 16081 17784 22266 23503 26676 29688 32162 33399 44532 47006 48243 53352 64324 66798 70509 89064 94012 96486 128648 133596 141018 144729 188024 192972 211527 267192 282036 289458 305539 385944 423054 434187 564072 578916 611078 634581 846108 868374 916617 1157832 1222156 1269162 1692216 1736748 1833234 2444312 2538324 2749851 3473496 3666468 5076648 5499702 7332936 8249553 10999404 16499106 21998808 32998212 65996424