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5488417152 = 273210314621
BaseRepresentation
bin1010001110010001…
…01001100110000000
3112011111102110221100
411013020221212000
542220013322102
62304335454400
7253002530121
oct50710514600
915144373840
105488417152
112367083049
121092087400
136960b981a
143a0cc0048
15221c82a1c
hex147229980

5488417152 has 96 divisors (see below), whose sum is σ = 15812231760. Its totient is φ = 1827302400.

The previous prime is 5488417093. The next prime is 5488417157. The reversal of 5488417152 is 2517148845.

5488417152 is a `hidden beast` number, since 5 + 4 + 88 + 417 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54884171522 = 60245445668735582208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5488417098 and 5488417107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488417157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185402 + ... + 1190022.

Almost surely, 25488417152 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 5488417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906115880).

5488417152 is an abundant number, since it is smaller than the sum of its proper divisors (10323814608).

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

5488417152 is a wasteful number, since it uses less digits than its factorization.

5488417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5657 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 5488417152 is about 74083.8521676620. The cubic root of 5488417152 is about 1763.9341607771.

The spelling of 5488417152 in words is "five billion, four hundred eighty-eight million, four hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1031 1152 2062 3093 4124 4621 6186 8248 9242 9279 12372 13863 16496 18484 18558 24744 27726 32992 36968 37116 41589 49488 55452 65984 73936 74232 83178 98976 110904 131968 147872 148464 166356 197952 221808 295744 296928 332712 395904 443616 591488 593856 665424 887232 1187712 1330848 1774464 2661696 4764251 5323392 9528502 14292753 19057004 28585506 38114008 42878259 57171012 76228016 85756518 114342024 152456032 171513036 228684048 304912064 343026072 457368096 609824128 686052144 914736192 1372104288 1829472384 2744208576 5488417152