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152801440 = 25511175107
BaseRepresentation
bin10010001101110…
…01000010100000
3101122112010011121
421012321002200
5303104121230
623055022024
73533535151
oct1106710240
9348463147
10152801440
1179285a90
124320a914
132587006c
1416417928
15d63477a
hex91b90a0

152801440 has 96 divisors (see below), whose sum is σ = 417057984. Its totient is φ = 52285440.

The previous prime is 152801431. The next prime is 152801459. The reversal of 152801440 is 44108251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27367 + ... + 32473.

It is an arithmetic number, because the mean of its divisors is an integer number (4344354).

Almost surely, 2152801440 is an apocalyptic number.

152801440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528992).

152801440 is an abundant number, since it is smaller than the sum of its proper divisors (264256544).

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

152801440 is a wasteful number, since it uses less digits than its factorization.

152801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 152801440 is about 12361.2879587849. The cubic root of 152801440 is about 534.6166526255.

Adding to 152801440 its reverse (44108251), we get a palindrome (196909691).

The spelling of 152801440 in words is "one hundred fifty-two million, eight hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5107 5984 7480 10214 14960 20428 25535 29920 40856 51070 56177 81712 86819 102140 112354 163424 173638 204280 224708 280885 347276 408560 434095 449416 561770 694552 817120 868190 898832 955009 1123540 1389104 1736380 1797664 1910018 2247080 2778208 3472760 3820036 4494160 4775045 6945520 7640072 8988320 9550090 13891040 15280144 19100180 30560288 38200360 76400720 152801440