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172468842 = 237131721093
BaseRepresentation
bin10100100011110…
…10101001101010
3110000112022202220
422101322221222
5323123000332
625040334510
74162650420
oct1221725152
9400468686
10172468842
1189399437
1249914436
1329967c90
1418c97110
151021bd2c
hexa47aa6a

172468842 has 96 divisors (see below), whose sum is σ = 451393152. Its totient is φ = 42771456.

The previous prime is 172468817. The next prime is 172468843. The reversal of 172468842 is 248864271.

172468842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 172468794 and 172468803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172468843) 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, 157248 + ... + 158340.

It is an arithmetic number, because the mean of its divisors is an integer number (4702012).

Almost surely, 2172468842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172468842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225696576).

172468842 is an abundant number, since it is smaller than the sum of its proper divisors (278924310).

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

172468842 is a wasteful number, since it uses less digits than its factorization.

172468842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1135 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 172468842 is about 13132.7393182078. The cubic root of 172468842 is about 556.6346224796.

The spelling of 172468842 in words is "one hundred seventy-two million, four hundred sixty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 289 357 442 546 578 663 714 867 1093 1326 1547 1734 2023 2186 3094 3279 3757 4046 4641 6069 6558 7514 7651 9282 11271 12138 14209 15302 18581 22542 22953 26299 28418 37162 42627 45906 52598 55743 78897 85254 99463 111486 130067 157794 198926 241553 260134 298389 315877 390201 483106 596778 631754 724659 780402 947631 1449318 1690871 1895262 2211139 3381742 4106401 4422278 5072613 6633417 8212802 10145226 12319203 13266834 24638406 28744807 57489614 86234421 172468842