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164498004 = 22321137103109
BaseRepresentation
bin10011100111000…
…00101001010100
3102110112100211200
421303200221110
5314102414004
624153432500
74035132006
oct1163405124
9373470750
10164498004
1184944870
124710b730
1328106bc8
1417bc0376
15e695239
hex9ce0a54

164498004 has 144 divisors (see below), whose sum is σ = 474714240. Its totient is φ = 47589120.

The previous prime is 164498003. The next prime is 164498051. The reversal of 164498004 is 400894461.

It is a happy number.

164498004 is a `hidden beast` number, since 1 + 644 + 9 + 8 + 0 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164498004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164498003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509102 + ... + 1509210.

Almost surely, 2164498004 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 164498004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237357120).

164498004 is an abundant number, since it is smaller than the sum of its proper divisors (310216236).

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

164498004 is a wasteful number, since it uses less digits than its factorization.

164498004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164498004 is about 12825.6775259633. The cubic root of 164498004 is about 547.9238576788.

The spelling of 164498004 in words is "one hundred sixty-four million, four hundred ninety-eight thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 103 109 111 132 148 198 206 218 222 309 327 333 396 407 412 436 444 618 654 666 814 927 981 1133 1199 1221 1236 1308 1332 1628 1854 1962 2266 2398 2442 3399 3597 3663 3708 3811 3924 4033 4532 4796 4884 6798 7194 7326 7622 8066 10197 10791 11227 11433 12099 13596 14388 14652 15244 16132 20394 21582 22454 22866 24198 33681 34299 36297 40788 41921 43164 44363 44908 45732 48396 67362 68598 72594 83842 88726 101043 123497 125763 133089 134724 137196 145188 167684 177452 202086 246994 251526 266178 370491 377289 399267 404172 415399 493988 503052 532356 740982 754578 798534 830798 1111473 1246197 1481964 1509156 1597068 1661596 2222946 2492394 3738591 4445892 4569389 4984788 7477182 9138778 13708167 14954364 18277556 27416334 41124501 54832668 82249002 164498004